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人気のある微分積分 >

derivative of 1/(sin(3x))

解

\frac{d}{d x} (\frac{1}{sin ( 3 x )})

解

- cot (3 x) csc (3 x) \cdot 3

解答ステップ

\frac{d}{d x} (\frac{1}{sin ( 3 x )})

簡素化

\frac{1}{sin ( 3 x )} : csc (3 x)

= \frac{d}{d x} (csc (3 x))

連鎖法則を適用:

- cot (3 x) csc (3 x) \frac{d}{d x} (3 x)

= - cot (3 x) csc (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - cot (3 x) csc (3 x) \cdot 3

グラフ

人気の例

derivative of (x^2+2x-6/((x+1)^2))

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